There are eight balls in an urn. They are identical except for color. Four are red, three are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color. (a) Make a tree diagram to show all possible outcomes of the experiment. (b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.) P(R, R) = P(R, B) = P(R, Y) = P(B, R) = P(B, B) = P(B, Y) = P(Y, R) = P(Y, B) =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
There are eight balls in an urn. They are identical except for color. Four are red, three are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
(b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)
| P(R, R) = | |
| P(R, B) = | |
| P(R, Y) = | |
| P(B, R) = | |
| P(B, B) = | |
| P(B, Y) = | |
| P(Y, R) = | |
| P(Y, B) = |
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